diff --git a/Documentation/ProjectFile/process/convergence_criterion/DeltaX/c_DeltaX.md b/Documentation/ProjectFile/process/convergence_criterion/DeltaX/c_DeltaX.md
index c235efb07af9adbe2efd7a1bd62e833f41619ecd..b65a0efd3d1029a9f2be0c6bab378db7bdb6bd4d 100644
--- a/Documentation/ProjectFile/process/convergence_criterion/DeltaX/c_DeltaX.md
+++ b/Documentation/ProjectFile/process/convergence_criterion/DeltaX/c_DeltaX.md
@@ -6,4 +6,6 @@ the norm of the whole solution vector, i.e., the entirety of all process
 variables.
 
 At least one of the relative or absolute tolerance has to be met in order to
-satisfy this convergence criterion.
+satisfy this convergence criterion, i.e., the following has to hold (with errors
+\f$e\f$ and tolerances \f$t\f$):
+\f[ e_{\mathrm{abs}} \le t_{\mathrm{abs}} \vee e_{\mathrm{rel}} \le t_{\mathrm{rel}} \f]
diff --git a/Documentation/ProjectFile/process/convergence_criterion/PerComponentDeltaX/c_PerComponentDeltaX.md b/Documentation/ProjectFile/process/convergence_criterion/PerComponentDeltaX/c_PerComponentDeltaX.md
index 8fbeb585ce0d6aadda67b5e5715f7559e6b9d4a4..ebec3bba907c4f871bc40a139bff45c3823d70bd 100644
--- a/Documentation/ProjectFile/process/convergence_criterion/PerComponentDeltaX/c_PerComponentDeltaX.md
+++ b/Documentation/ProjectFile/process/convergence_criterion/PerComponentDeltaX/c_PerComponentDeltaX.md
@@ -7,4 +7,6 @@ vectorial process variable, to each vector component) of the solution vector
 individually.
 
 For each component at least one of the relative or absolute tolerance has to be
-met in order to satisfy this convergence criterion.
+met in order to satisfy this convergence criterion, i.e., the following has to
+hold (with errors \f$e\f$ and tolerances \f$t\f$):
+\f[ e_{\mathrm{abs}} \le t_{\mathrm{abs}} \vee e_{\mathrm{rel}} \le t_{\mathrm{rel}} \f]
diff --git a/Documentation/ProjectFile/process/convergence_criterion/PerComponentResidual/c_PerComponentResidual.md b/Documentation/ProjectFile/process/convergence_criterion/PerComponentResidual/c_PerComponentResidual.md
index 62512cfd897a9f928740a91e3bd4467bbd91f622..7189e9cfa5ebe6351fb86e8ac9ba5dfcd6d1e733 100644
--- a/Documentation/ProjectFile/process/convergence_criterion/PerComponentResidual/c_PerComponentResidual.md
+++ b/Documentation/ProjectFile/process/convergence_criterion/PerComponentResidual/c_PerComponentResidual.md
@@ -7,4 +7,6 @@ vectorial process variable, to each vector component) of the residuum vector
 individually.
 
 For each component at least one of the relative or absolute tolerance has to be
-met in order to satisfy this convergence criterion.
+met in order to satisfy this convergence criterion, i.e., the following has to
+hold (with errors \f$e\f$ and tolerances \f$t\f$):
+\f[ e_{\mathrm{abs}} \le t_{\mathrm{abs}} \vee e_{\mathrm{rel}} \le t_{\mathrm{rel}} \f]
diff --git a/Documentation/ProjectFile/process/convergence_criterion/Residual/c_Residual.md b/Documentation/ProjectFile/process/convergence_criterion/Residual/c_Residual.md
index a5d4846796a653dd98b3bfdf6b9779ad4bd2711a..d9347b3cc52b9a53e243476003423e9cf9503035 100644
--- a/Documentation/ProjectFile/process/convergence_criterion/Residual/c_Residual.md
+++ b/Documentation/ProjectFile/process/convergence_criterion/Residual/c_Residual.md
@@ -5,4 +5,6 @@ A relative and/or absolute tolerance value can be specified, which is applied to
 the norm of the whole residuum vector.
 
 At least one of the relative or absolute tolerance has to be met in order to
-satisfy this convergence criterion.
+satisfy this convergence criterion, i.e., the following has to hold (with errors
+\f$e\f$ and tolerances \f$t\f$):
+\f[ e_{\mathrm{abs}} \le t_{\mathrm{abs}} \vee e_{\mathrm{rel}} \le t_{\mathrm{rel}} \f]